US7692874B2 - Wide-angle optical system and imaging apparatus using the same - Google Patents
Wide-angle optical system and imaging apparatus using the same Download PDFInfo
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- US7692874B2 US7692874B2 US12/319,956 US31995609A US7692874B2 US 7692874 B2 US7692874 B2 US 7692874B2 US 31995609 A US31995609 A US 31995609A US 7692874 B2 US7692874 B2 US 7692874B2
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/001—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras
- G02B13/0015—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design
- G02B13/002—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface
- G02B13/0035—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface having three lenses
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B9/00—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or -
- G02B9/12—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or - having three components only
Definitions
- the present invention relates generally to a wide-angle optical system and an imaging apparatus incorporating the same, and more particularly to a wide angle-of-view, small-format optical system capable of relatively close range photography.
- Patent Publication 1 JP(A) 2007-3768
- Patent Publication 2 JP(A) 2007-47513
- Patent Publication 3 JP(A) 2007-58153
- the present invention provides a wide-angle optical system, characterized by comprising, in order from its object side, a stop, a first lens having positive refracting power, a second lens having negative refracting power and a third lens that is an aspheric lens, wherein said third lens is configured such that as viewed in a lens section including an optical axis, a portion thereof near said optical axis is in a meniscus shape convex on an object side and an object side surface and an image side surface thereof at a peripheral site are in a meniscus shape convex on an image side, with satisfaction of the following conditions (1-1) and (1-2). ⁇ 0.40 ⁇ f/f 3 ⁇ 0.15 (1-1) 0.30 ⁇ hc 7/ hp 7 ⁇ 2.0 (1-2) where f is the focal length of the whole wide-angle optical system, and
- f 3 is the focal length of said third lens.
- hc 7 is supposed to be a distance from Pm 7 to said optical axis
- hp 7 is supposed to be a distance from a convex apex Pp 7 of the image side surface of said third lens to said optical axis.
- the optical system is also characterized by satisfying the following condition (2). 0.06 ⁇ dp 7/ f ⁇ 0.3 (2) where dp 7 is an optical axis direction length from a point of intersection Pc 7 of the image side surface of said third lens with said optical axis to said apex Pp 7 .
- the optical system is characterized in that said second lens satisfies the following condition (3). v2 ⁇ 25 (3) where v 2 is the Abbe constant of said second lens.
- the optical system is characterized in that said first lens and said second lens satisfy the following condition (4). 0.9 ⁇ R 2/ R 3 ⁇ 4.4 (4) where R 2 is the radius of curvature of the image side surface of said first lens, and
- R 3 is the radius of curvature of the object side surface of said second lens.
- the optical system is characterized by satisfying the following condition (5). 0.3 ⁇
- ⁇ d is the total length of the optical system.
- the optical system is characterized by satisfying the following condition (6). ⁇ 2.0 ⁇ Exp/f ⁇ 0.45 (6) where f is the focal length of said whole wide-angle optical system, and
- Exp is a distance from an image plane position to an exit pupil position.
- the optical system is characterized by satisfying the following condition (7). 0.1 ⁇ L 3 d/Fnos ⁇ 0.7 (7) where L 3 d is a distance from the object side surface of said third lens to an imaging position, and
- Fnos is a minimum F-number.
- the optical system is characterized by satisfying the following condition (8). 25% ⁇ ILL ⁇ 45% (8) where ILL is a proportion of the light quantity at the periphery relative to the light quantity at the center.
- the optical system is characterized by satisfying the following condition (9). 0.07 ⁇ ( R 1+ R 2)/( R 1 ⁇ R 2) ⁇ 0.8 (9) where R 1 is the radius of curvature of the object side surface of said first lens, and
- R 2 is the radius of curvature of the image side surface of said first lens.
- the optical system is characterized by satisfying the following conditions (10-1) to (10-4). 0.39 ⁇ fb/f ⁇ 0.85 (10-1) ⁇ 1.2 ⁇ f 2/ f ⁇ 0.3 (10-2) ⁇ 0.18 ⁇ ( n 1 ⁇ n 3) ⁇ 0.08 (10-3) 1.3 ⁇ d 4/ d 5 ⁇ 9 (10-4) where fb is the rear focus position of said wide-angle optical system,
- f 2 is the focal length of said second lens
- d 4 is the thickness of said second lens
- d 5 is an air spacing between said second lens and said third lens.
- the present invention also provides an imaging apparatus, characterized by comprising the aforesaid wide-angle optical system and an imaging device that is located on an image side of said wide-angle optical system and converts an optical image into electric signals.
- FIG. 1 is illustrative in section of Example 1 of the inventive imaging optical system.
- FIG. 2 is illustrative in section of Example 2 of the inventive imaging optical system.
- FIG. 3 is illustrative in section of Example 3 of the inventive imaging optical system.
- FIG. 4 is illustrative in section of Example 4 of the inventive imaging optical system.
- FIG. 5 is illustrative in section of Example 5 of the inventive imaging optical system.
- FIG. 6 is illustrative in section of Example 6 of the inventive imaging optical system.
- FIG. 7 is illustrative in section of Example 7 of the inventive imaging optical system.
- FIG. 8 is an aberration diagram for Example 1.
- FIG. 9 is an aberration diagram for Example 2.
- FIG. 10 is an aberration diagram for Example 3.
- FIG. 11 is an aberration diagram for Example 4.
- FIG. 12 is an aberration diagram for Example 5.
- FIG. 13 is an aberration diagram for Example 6.
- FIG. 14 is an aberration diagram for Example 7.
- FIG. 15 is illustrative of parameters in conditions (1-1), (1-2) and (2).
- the wide-angle optical system comprises, in order from its object side, a stop, a first lens L 1 having positive refracting power, a second lens L 2 having negative refracting power and a third lens L 3 that is an aspheric surface.
- the third lens L 3 is configured such that as viewed in a lens section including an optical axis, a portion thereof near the optical axis is in a meniscus shape convex on the object side and an object side surface and an image side surface thereof at a peripheral site are in a meniscus shape convex on an image side.
- f is the focal length of the whole wide-angle optical system
- f 3 is the focal length of said third lens.
- Lm stand for a light ray passing through the center of said stop at an angle of 36° with said optical axis
- Pm 7 stand for a point at which Lm passes the image side surface of said third lens.
- hc 7 is supposed to be the distance from Pm 7 to said optical axis
- hp 7 is supposed to be the distance from the convex apex Pp 7 of the image side surface of said third lens to said optical axis.
- the aspheric lens is used for the third lens L 3 .
- the aspheric surface is configured as follows. A portion of the aspheric surface near the optical axis is configured into a meniscus shape convex on the object side. That is, the object side lens surface and the image side lens surface alike are convex on the object side.
- the third lens L 3 functions as a meniscus lens near the optical axis.
- the peripheral portion is in a meniscus shape convex on the image side. That is, the object side lens surface and the image side lens surface alike are convex on the image side.
- the third lens L 3 functions as a meniscus lens also at the peripheral portion.
- the wide-angle optical system according to the embodiment here satisfies condition (1-1).
- condition (1-1) enables the total length of the optical system to be sufficiently short relative to the focal length while maintaining the effect on bringing the positions of principal points due to the effect of the second lens having negative refracting power on the object side of the optical system. Because the stop is located nearest to the object side, the exit pupil can be spaced away from the image plane, thereby making small the angle of incidence of light rays on a peripheral portion of an imaging device E. It is consequently possible to get around a drop of sensitivity at the peripheral portion of the imaging device E.
- the angle of incidence of off-axis chief rays on the peripheral portion of the imaging device E grows large. Therefore, if condition (1-2) is satisfied, it is then possible to make small the angle of incidence of off-axis chief rays on the peripheral portion of the imaging device E. In turn, it is possible to get around a sensitivity drop of the peripheral portion of the imaging device E, and have an effect on correction of pin-cushion distortion occurring from the second lens L 2 as well.
- Running short of the lower limit to condition (1-2) will cause the power at the periphery of the third lens L 3 to grow too large, resulting in the occurrence of some considerable chromatic aberration of magnification and, hence, deterioration of imaging capability.
- dp 7 is a length in the optical axis direction of the point of intersection Pc 7 of the image side surface of the third lens L 3 with the optical axis to the apex Pp 7 .
- the angle of incidence of off-axis chief rays on the peripheral portion of the imaging device E grows large. Therefore, if condition (2) is satisfied with respect to the aspheric shape of the peripheral portion of the third lens L 3 , it is then possible to make small the angle of incidence of off-axis chief rays on the peripheral portion of the imaging device E and, hence, to get around a sensitivity drop of the peripheral portion of the imaging device E.
- Running short of the lower limit to condition (2) will cause the power at the periphery of the third lens L 3 to grow too large, resulting in the occurrence of some considerable chromatic aberration of magnification and, hence, deterioration of imaging capability.
- the first lens L 2 must have a short focal length; however, such a short focal length will bring about chromatic aberrations.
- the third lens L 3 is an aspheric lens of the aforesaid shape. In other words, the third lens L 3 has a point of inflection on the image side surface. For this reason, if axial chromatic aberrations are corrected at the third lens L 3 , there is then some considerable chromatic aberration of magnification produced at the peripheral portion. It is thus preferable to use a material of high dispersion for the second lens L 2 , thereby making correction of chromatic aberration of magnification. Note here that the second lens L 2 is preferably given a proper power bringing about no increase in coma.
- Condition (4) is provided to make narrow the air spacing between the first lens L 1 and the second lens L 2 without worsening aberrations.
- the satisfaction of condition (4) contributes more to the slimming down of the optical system, because the first lens L 1 and the second lens L 2 can be positioned in close relations.
- condition (5) it is possible to keep the total length of the optical system short while holding back the occurrence of field curvature.
- condition (6) ensures a sensible tradeoff between size reductions and sustained peripheral performance.
- Running short of the lower limit to condition (6) will need to locate the exit pupil at a far away position, rendering the optical system bulky.
- Running short of the lower limit to condition (7) will cause the F-number to become small, or it will cause the distance from the object side surface of the third lens L 3 to the imaging position to become short, rendering dusts in the optical system noticeable.
- the wide-angle optical system of the embodiment here because of being of the so-called telephoto type, is apt to produce positive distortion.
- positive distortion As positive distortion is produced, light quantity at the periphery decreases. To increase the light quantity at the periphery, correction is thus implemented such that the positive distortion turns to negative one.
- the imaging device E and a lens barrel shift in the vertical direction to the optical axis, it causes distortion to be produced asymmetrically.
- Asymmetrically produced distortion renders the light quantity at the periphery asymmetric, rendering image quality drastically worse.
- condition (8) prevents asymmetric distortion from occurring, balancing the light quantity at the center well against the light quantity at the periphery.
- Running short of the lower limit to condition (8) will cause the light quantity at the periphery to become too small. In this case, much difficulty will be experienced in the adjustment of image brightness by electrical correction.
- the first lens L 1 has the shortest focal length, and so it is most vulnerable to assembly errors during production. Therefore, if condition (9) is satisfied, it is then possible to reduce production variations and, hence, achieve good optical performance.
- Running short of the lower limit to condition (9) will cause the radius of curvature of R 1 to become too small. Accordingly, the tilt of light rays incident on the object side surface of the first lens L 1 will grow large relative to the normal to that surface, resulting in an increased sensitivity of the lens to decentration.
- f 2 is the focal length of the second lens L 2 .
- n 1 and n 2 are the refractive indices of the first L 1 and the second lens L 2 , respectively,
- d 4 is the thickness of the second lens L 2 .
- d 5 is the air spacing between the second L 2 and the third lens L 3 .
- the upper limit to condition (10-1) is exceeded, it will cause the distance from the first lens L 1 up to the third lens L 3 to become too short. In this case, the optical system will have an increasing sensitivity to decentration and will be vulnerable to production errors, resulting in a worsening of imaging capability.
- Running short of the lower limit to condition (10-4) will cause the refractive index of the third lens L 3 to grow high. In this case, there will be distortion or field curvature occurring from production errors of surface configuration, resulting in a worsening of imaging capability.
- all the lenses are preferably constructed of resin.
- a shutter is located nearest to the object side.
- the shutter may serve as, or be separate from, the stop.
- a variable stop is located nearest to the object side.
- condition (1-1) it is also preferable to replace condition (1-1) by the following one. ⁇ 0.25 ⁇ f/f 3 ⁇ 0.02 (1-1)
- condition (1-1) enables to make a difference between the on-axis and off-axis powers of the third lens L 3 . In turn, this makes it easy to reduce the size of the optical system and correct distortion.
- condition (2) it is preferable to replace condition (2) by the following one. 0.09 ⁇ dp 7/ f ⁇ 0.19 (2)
- condition (4) it is preferable to replace condition (4) by the following one. 1.2 ⁇ R 2/ R 3 ⁇ 2.8 (4)
- condition (5) it is preferable to replace condition (5) by the following one. 0.46 ⁇
- condition (6) For the wide-angle optical system according to the embodiment here, it is preferable to replace condition (6) by the following one. ⁇ 1.3 ⁇ Exp/f ⁇ 0.58 (6)
- condition (7) it is preferable to replace condition (7) by the following one. 0.18 ⁇ L 3 d/Fnos ⁇ 0.43 (7)
- condition (8) it is preferable to replace condition (8) by the following one. 25% ⁇ ILL ⁇ 42% (8)
- condition (9) it is preferable to replace condition (9) by the following one. 0.09 ⁇ ( R 1 +R 2)/( R 1 ⁇ R 2) ⁇ 0.49 (9)
- close range photography can be implemented while keeping good imaging capability, and wide area photography can be implemented as well.
- Examples 1 to 7 of the imaging optical system are now explained with reference to the accompanying drawings where 1 stands for the wide-angle optical system, 2 the center axis, 3 the image plane, L 1 the first lens, L 2 the second lens, L 3 the third lens, S the aperture stop, C the cover glass, and E the imaging device such as a CCD. Numerical data and the respective conditions in all the examples will be enumerated later.
- the positive lens and the negative lens are here supposed to have a positive value and a negative value, respectively, for the paraxial focal length.
- FIG. 1 is illustrative of the lens arrangement of Example 1 of the inventive imaging optical system.
- the wide-angle optical system 1 is made up of, in order from its object side, the aperture stop S, the first lens L 1 composed of a double-convex positive lens, the second lens L 2 composed of a negative meniscus lens convex on its image plane side, the third lens L 3 composed of a negative meniscus lens convex on its object side, and the cover glass C.
- the first lens L 1 , the second lens L 2 , and the third lens L 3 has aspheric surfaces used at both its surfaces.
- the aspheric surfaces of the third lens L 3 in particular are each configured in such a way as to allow the peripheral portion to have a weak negative or positive refracting power, and to satisfy condition (1) as well.
- FIG. 2 is illustrative of the lens arrangement of Example 2 of the inventive imaging optical system.
- the wide-angle optical system 1 is made up of, in order from its object side, the aperture stop S, the first lens L 1 composed of a double-convex positive lens, the second lens L 2 composed of a negative meniscus lens convex on its image plane side, the third lens L 3 composed of a negative meniscus lens convex on its object side, and the cover glass C.
- the first lens L 1 , the second lens L 2 , and the third lens L 3 has aspheric surfaces used at both its surfaces.
- the aspheric surfaces of the third lens L 3 in particular are each configured in such a way as to allow the peripheral portion to have a weak negative or positive refracting power, and to satisfy condition (1) as well.
- FIG. 3 is illustrative of the lens arrangement of Example 3 of the inventive imaging optical system.
- the wide-angle optical system 1 is made up of, in order from its object side, the aperture stop S, the first lens L 1 composed of a double-convex positive lens, the second lens L 2 composed of a negative meniscus lens convex on its image plane side, the third lens L 3 composed of a negative meniscus lens convex on its object side, and the cover glass C.
- the first lens L 1 , the second lens L 2 , and the third lens L 3 has aspheric surfaces used at both its surfaces.
- the aspheric surfaces of the third lens L 3 in particular are each configured in such a way as to allow the peripheral portion to have a weak negative or positive refracting power, and to satisfy condition (1) as well.
- FIG. 4 is illustrative of the lens arrangement of Example 4 of the inventive imaging optical system.
- the wide-angle optical system 1 is made up of, in order from its object side, the aperture stop S, the first lens L 1 composed of a double-convex positive lens, the second lens L 2 composed of a negative meniscus lens convex on its image plane side, the third lens L 3 composed of a negative meniscus lens convex on its object side, and the cover glass C.
- the first lens L 1 , the second lens L 2 , and the third lens L 3 has aspheric surfaces used at both its surfaces.
- the aspheric surfaces of the third lens L 3 in particular are each configured in such a way as to allow the peripheral portion to have a weak negative or positive refracting power, and to satisfy condition (1) as well.
- FIG. 5 is illustrative of the lens arrangement of Example 5 of the inventive imaging optical system.
- the wide-angle optical system 1 is made up of, in order from its object side, the aperture stop S, the first lens L 1 composed of a double-convex positive lens, the second lens L 2 composed of a negative meniscus lens convex on its image plane side, the third lens L 3 composed of a negative meniscus lens convex on its object side, and the cover glass C.
- the first lens L 1 , the second lens L 2 , and the third lens L 3 has aspheric surfaces used at both its surfaces.
- the aspheric surfaces of the third lens L 3 in particular are each configured in such a way as to allow the peripheral portion to have a weak negative or positive refracting power, and to satisfy condition (1) as well.
- FIG. 6 is illustrative of the lens arrangement of Example 6 of the inventive imaging optical system.
- the wide-angle optical system 1 is made up of, in order from its object side, the aperture stop S, the first lens L 1 composed of a double-convex positive lens, the second lens L 2 composed of a negative meniscus lens convex on its image plane side, the third lens L 3 composed of a negative meniscus lens convex on its object side, and the cover glass C.
- the first lens L 1 , the second lens L 2 , and the third lens L 3 has aspheric surfaces used at both its surfaces.
- the aspheric surfaces of the third lens L 3 in particular are each configured in such a way as to allow the peripheral portion to have a weak negative or positive refracting power, and to satisfy condition (1) as well.
- FIG. 7 is illustrative of the lens arrangement of Example 7 of the inventive imaging optical system.
- the wide-angle optical system 1 is made up of, in order from its object side, the aperture stop S, the first lens L 1 composed of a double-convex positive lens, the second lens L 2 composed of a negative meniscus lens convex on its image plane side, the third lens L 3 composed of a negative meniscus lens convex on its object side, and the cover glass C.
- the first lens L 1 , the second lens L 2 , and the third lens L 3 has aspheric surfaces used at both its surfaces.
- the aspheric surfaces of the third lens L 3 in particular are each configured in such a way as to allow the peripheral portion to have a weak negative or positive refracting power, and to satisfy condition (1) as well.
- r is the radius of curvature of each lens surface
- d is the lens surface-to-lens surface spacing
- n is the d-line refractive index of each lens
- v is the Abbe constant of each lens.
- x ( y 2 /r )[1+ ⁇ 1 ⁇ ( K+ 1)( y/r ) 2 ⁇ 1/2 ]+A 4 y 4 +A 6 y 6 +A 8 y 8 +A 10 y 10
- r is the paraxial radius of curvature
- K is the conic constant
- A4, A6, A8 and A10 are the 4 th -, 6 th -, 8 th - and 10 th -order aspheric coefficients.
- Example 1 Example 2
- Example 3 Example 4 Condition (1-1) ⁇ 0.187 ⁇ 0.035 ⁇ 0.008 ⁇ 0.004 Condition (1-2) 0.902 0.943 0.937 0.999 Condition (2) 0.142 0.128 0.074 0.055 Condition (3) 30.21 30.21 30.21 23.27 Condition (4) 1.68 1.69 1.99 1.96 Condition (5) 0.66 0.67 0.66 0.67 Condition (6) ⁇ 1.01 ⁇ 0.99 ⁇ 0.99 ⁇ 0.90 Condition (7) 0.27 0.26 0.36 0.40 Condition (8) 32.2 31.8 39.9 36.2 Condition (9) 0.38 0.34 0.37 0.30 Condition (10-1) 0.415 0.410 0.344 0.327 Condition (10-2) ⁇ 0.807 ⁇ 0.986 ⁇ 0.747 ⁇ 0.765 Condition (10-3) 0.000 ⁇ 0.058 0.000 0.000 Condition (10-4) 1.597 1.619 1.760 2.000
- Example 5 Example 6
- Example 7 Condition (1-1) ⁇ 0.004 ⁇ 0.061 ⁇ 0.002 Condition (1-2) 1.059 0.711 0.995 Condition (2) 0.057 0.
- FIGS. 8 to 14 Aberration diagrams for Examples 1 to 7 are presented in the form of FIGS. 8 to 14 wherein the acronyms SA, AS and DT stand for spherical aberrations, astigmatism and distortion, respectively, and the acronyms FNO and FIY represent an F-number and an image height, respectively.
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Abstract
−0.40<f/f3<0.15 (1-1)
0.30<hc7/hp7<2.0 (1-2)
where f is the focal length of the whole wide-angle optical system, and f3 is the focal length of the third lens. When Lm stands for a light ray passing through the center of the stop at an angle of 36° with the optical axis, and Pm7 stands for a point at which Lm passes the image side surface of the third lens, hc7 is supposed to be a distance from Pm7 to the optical axis, and hp7 is supposed to be a distance from a convex apex Pp7 of the image side surface of the third lens to the optical axis.
Description
−0.40<f/f3<0.15 (1-1)
0.30<hc7/hp7<2.0 (1-2)
where f is the focal length of the whole wide-angle optical system, and
0.06<dp7/f<0.3 (2)
where dp7 is an optical axis direction length from a point of intersection Pc7 of the image side surface of said third lens with said optical axis to said apex Pp7.
v2<25 (3)
where v2 is the Abbe constant of said second lens.
0.9<R2/R3<4.4 (4)
where R2 is the radius of curvature of the image side surface of said first lens, and
0.3<|Hr/Σd|<1.4 (5)
where Hr is the distance from an imaging plane to a rear principal point position, and
−2.0<Exp/f<−0.45 (6)
where f is the focal length of said whole wide-angle optical system, and
0.1<L3d/Fnos<0.7 (7)
where L3 d is a distance from the object side surface of said third lens to an imaging position, and
25%<ILL<45% (8)
where ILL is a proportion of the light quantity at the periphery relative to the light quantity at the center.
0.07<(R1+R2)/(R1−R2)<0.8 (9)
where R1 is the radius of curvature of the object side surface of said first lens, and
0.39<fb/f<0.85 (10-1)
−1.2<f2/f<−0.3 (10-2)
−0.18<(n1−n3)<0.08 (10-3)
1.3<d4/d5<9 (10-4)
where fb is the rear focus position of said wide-angle optical system,
−0.40<f/f3<0.15 (1-1)
0.30<hc7/hp7<2.0 (1-2)
where f is the focal length of the whole wide-angle optical system, and f3 is the focal length of said third lens. Here let Lm stand for a light ray passing through the center of said stop at an angle of 36° with said optical axis, and Pm7 stand for a point at which Lm passes the image side surface of said third lens. Then, hc7 is supposed to be the distance from Pm7 to said optical axis, and hp7 is supposed to be the distance from the convex apex Pp7 of the image side surface of said third lens to said optical axis.
0.06<dp7/f<0.3 (3)
where dp7 is a length in the optical axis direction of the point of intersection Pc7 of the image side surface of the third lens L3 with the optical axis to the apex Pp7.
v2<25 (3)
where v2 is the Abbe constant of the second lens L2.
0.9<R2/R3<4.4 (4)
where R2 is the radius of curvature of the first lens L1, and R3 is the radius of curvature of the second lens L2.
0.3<|Hr/Σd|<1.4 (5)
where Hr is the distance from an imaging plane to a rear principal point position, and Σd is the total length of the wide-angle optical system.
−2.0<Exp/f<−0.45 (6)
where f is the focal length of the whole wide-angle optical system, and Exp is the distance from an image plane position to an exit pupil position.
0.1 (mm)<L3d/Fnos<0.7 (mm) (7)
where L3 d is the distance from the object side surface of the third lens L3 to the imaging position, and Fnos is the minimum F-number.
25%<ILL<45% (8)
where ILL is the proportion of the light quantity at the periphery to the light quantity at the center.
0.07<(R1+R2)/(R1−R2)<0.8 (9)
where R1 is the radius of curvature of the object side surface of the first lens L1, and R2 is the radius of curvature of the image side surface of the first lens L1.
0.39<fb/f<0.85 (10-1)
−1.2<f2/f<−0.3 (10-2)
−0.18<(n1−n3)<0.08 (10-3)
1.3<d4/d5<9 (10-4)
where fb is the back focus position of the wide-angle optical system (the first L1, the second L2, and the third lens L3),
−0.25<f/f3<0.01 (1-1)
0.50<hc7/hp7<1.24 (1-2)
−0.25<f/f3<−0.02 (1-1)
0.09<dp7/f<0.19 (2)
1.2<R2/R3<2.8 (4)
0.46<|Hr/Σd|<0.89 (5)
−1.3<Exp/f<−0.58 (6)
0.18<L3d/Fnos<0.43 (7)
25%<ILL<42% (8)
0.09<(R1+R2)/(R1−R2)<0.49 (9)
0.39<fb/f<0.45 (10-1)
−1.2<f2/f<−0.1 (10-2)
−0.01<(n1−n3)<0.05 (10-3)
1.3<d4/d5<4 (10-4)
x=(y 2 /r)[1+{1−(K+1)(y/r)2}1/2 ]+A4y 4 +A6y 6 +A8y 8 +A10y 10
where r is the paraxial radius of curvature, K is the conic constant, and A4, A6, A8 and A10 are the 4th-, 6th-, 8th- and 10th-order aspheric coefficients.
Unit mm |
Surface Data |
Effective | |||||
Surface Number | r | d | nd | νd | Diameter |
1 (Stop) | ∞ | 0.20 | 0.63 | ||
2 (Aspheric Surface) | 2.540 | 1.06 | 1.52559 | 56.45 | 0.88 |
3 (Aspheric Surface) | −1.141 | 0.19 | 1.07 | ||
4 (Aspheric Surface) | −0.676 | 1.07 | 1.58393 | 30.21 | 1.12 |
5 (Aspheric Surface) | −1.454 | 0.67 | 1.36 | ||
6 (Aspheric Surface) | 1.721 | 0.57 | 1.52559 | 56.45 | 2.18 |
7 (Aspheric Surface) | 1.300 | 0.83 | 2.43 | ||
8 | ∞ | 0.50 | 1.51633 | 64.14 | 2.62 |
9 | ∞ | 0.30 | 2.73 | ||
Image Plane | ∞ | ||||
Aspheric Coefficient |
2nd Surface | ||
K = −3.173, A4 = −1.53303E−02, A6 = −5.57102E−02 | ||
3rd Surface | ||
K = −1.134, A4 = −4.60752E−02, A6 = 4.54402E−02 | ||
4th Surface | ||
K = −0.774, A4 = 3.24894E−01, A6 = 7.49671E−02 | ||
5th Surface | ||
K = −0.296, A4 = 1.29553E−01, A6 = 2.03973E−02 | ||
6th Surface | ||
K = −2.275, A4 = −3.77809E−02, A6 = 1.95062E−03 | ||
7th Surface | ||
K = −3.294, A4 = −2.18975E−02, A6 = −4.93279E−04 | ||
Various Data |
Focal Length | 3.55 | ||
F-number | 2.8 | ||
Angle of View | −38.4° | ||
Image Height | 2.8 | ||
Total Lens Length | 5.2 | ||
BF | 1.48 | ||
Unit mm |
Surface Data |
Effective | |||||
Surface Number | r | d | nd | νd | Diameter |
1 (Stop) | ∞ | 0.20 | 0.65 | ||
2 (Aspheric Surface) | 2.528 | 1.18 | 1.52559 | 56.45 | 0.90 |
3 (Aspheric Surface) | −1.254 | 0.20 | 1.09 | ||
4 (Aspheric Surface) | −0.739 | 1.02 | 1.58393 | 30.21 | 1.98 |
5 (Aspheric Surface) | −1.691 | 0.63 | 1.39 | ||
6 (Aspheric Surface) | 1.612 | 0.61 | 1.58393 | 30.21 | 2.06 |
7 (Aspheric Surface) | 1.351 | 0.86 | 2.36 | ||
8 | ∞ | 0.50 | 1.51633 | 64.14 | 2.60 |
9 | ∞ | 0.30 | 2.71 | ||
Image Plane | ∞ | ||||
Aspheric Coefficient |
2nd Surface | ||
K = −5.621, A4 = 1.40251E−02, A6 = −5.20761E−02 | ||
3rd Surface | ||
K = −0.965, A4 = −4.01327E−02 | ||
4th Surface | ||
K = −0.739, A4 = 1.76074E−01, A6 = 1.51755E−02 | ||
5th Surface | ||
K = 0.067, A4 = 9.18177E−02, A6 = 2.68669E−02 | ||
6th Surface | ||
K = −2.207, A4 = −4.43963E−02, A6 = 1.25664E−03 | ||
7th Surface | ||
K = −2.929, A4 = −2.72328E−02, A6 = −7.55043E−04 | ||
Various Data |
Focal Length | 3.64 | ||
F-number | 2.8 | ||
Angle of View | −37.6° | ||
Image Height | 2.8 | ||
Total Lens Length | 5.3 | ||
BF | 1.49 | ||
Unit mm |
Surface Data |
Effective | |||||
Surface Number | r | d | nd | νd | Diameter |
1 (Stop) | ∞ | 0.20 | 0.67 | ||
2 (Aspheric Surface) | 3.315 | 1.15 | 1.53071 | 55.69 | 0.86 |
3 (Aspheric Surface) | −1.512 | 0.42 | 1.12 | ||
4 (Aspheric Surface) | −0.760 | 0.88 | 1.58393 | 30.21 | 1.15 |
5 (Aspheric Surface) | −1.466 | 0.50 | 1.38 | ||
6 (Aspheric Surface) | 2.626 | 1.11 | 1.53071 | 55.69 | 1.94 |
7 (Aspheric Surface) | 2.216 | 0.79 | 2.43 | ||
8 | ∞ | 0.30 | 1.51633 | 64.14 | 2.64 |
9 | ∞ | 0.30 | 2.70 | ||
Image Plane | ∞ | ||||
Aspheric Coefficient |
2nd Surface | ||
K = −1.840, A4 = −4.59100E−02, A6 = −3.05100E−02, | ||
A8 = −7.12400E−02 | ||
3rd Surface | ||
K = −1.218, A4 = −7.36900E−02, A6 = −2.97600E−02, | ||
A8 = 3.09400E−02, A10 = −2.59300E−02 | ||
4th Surface | ||
K = −0.926, A4 = 1.49100E−01, A6 = 1.07400E−01, | ||
A8 = −8.17500E−02, A10 = 2.31100E−02 | ||
5th Surface | ||
K = −0.490, A4 = 7.28800E−02, A6 = 5.67100E−02, | ||
A8 = −1.36400E−02, A10 = 8.56100E−04 | ||
6th Surface | ||
K = −7.093, A4 = −2.29700E−02, A6 = −6.43000E−04, | ||
A8 = 1.18900E−03, A10 = −2.30700E−04 | ||
7th Surface | ||
K = −1.369, A4 = −6.13500E−02, A6 = 9.18900E−03, | ||
A8 = −7.47900E−04, A10 = −2.48600E−06 | ||
Various Data |
Focal Length | 3.73 | ||
F-number | 2.8 | ||
Angle of View | −36.8° | ||
Image Height | 2.8 | ||
Total Lens Length | 5.5 | ||
BF | 1.28 | ||
Unit mm |
Surface Data |
Effective | |||||
Surface Number | r | d | nd | νd | Diameter |
1 (Stop) | ∞ | 0.10 | 0.68 | ||
2 (Aspheric Surface) | 3.076 | 1.11 | 1.53071 | 55.69 | 0.80 |
3 (Aspheric Surface) | −1.651 | 0.42 | 1.05 | ||
4 (Aspheric Surface) | −0.838 | 0.80 | 1.63259 | 23.27 | 1.10 |
5 (Aspheric Surface) | −1.568 | 0.40 | 1.30 | ||
6 (Aspheric Surface) | 3.271 | 1.39 | 1.53071 | 55.69 | 1.67 |
7 (Aspheric Surface) | 2.771 | 0.74 | 2.38 | ||
8 | ∞ | 0.30 | 1.51633 | 64.14 | 2.66 |
9 | ∞ | 0.30 | 2.72 | ||
Image Plane | ∞ | ||||
Aspheric Coefficient |
2nd Surface | ||
K = −1.561, A4 = −4.45188E−02, A6 = −2.78685E−02, | ||
A8 = −4.80497E−02 | ||
3rd Surface | ||
K = −1.110, A4 = −7.35754E−02, A6 = −2.18139E−03, | ||
A8 = 8.64574E−03, A10 = −1.50468E−02 | ||
4th Surface | ||
K = −0.906, A4 = 1.40870E−01, A6 = 1.10717E−01, | ||
A8 = −7.36659E−02, A10 = 1.76769E−02 | ||
5th Surface | ||
K = −0.424, A4 = 6.85954E−02, A6 = 5.20628E−02, | ||
A8 = −1.17039E−02, A10 = 1.12392E−03 | ||
6th Surface | ||
K = −15.009, A4 = −1.96223E−02, A6 = −7.60260E−03, | ||
A8 = 3.02406E−03, A10 = −7.56075E−04 | ||
7th Surface | ||
K = −2.040, A4 = −4.50247E−02, A6 = 6.82918E−03, | ||
A8 = −1.05009E−03, A10 = 3.98509E−05 | ||
Various Data |
Focal Length | 3.77 | ||
F-number | 2.8 | ||
Angle of View | −36.8° | ||
Image Height | 2.8 | ||
Total Lens Length | 5.5 | ||
BF | 1.23 | ||
Unit mm |
Surface Data |
Effective | |||||
Surface Number | r | d | nd | νd | Diameter |
1 (Stop) | ∞ | 0.20 | 0.67 | ||
2 (Aspheric Surface) | 3.324 | 1.01 | 1.53071 | 55.69 | 0.85 |
3 (Aspheric Surface) | −1.674 | 0.54 | 1.08 | ||
4 (Aspheric Surface) | −0.757 | 0.66 | 1.63493 | 23.90 | 1.18 |
5 (Aspheric Surface) | −1.327 | 0.30 | 1.30 | ||
6 (Aspheric Surface) | 3.358 | 1.50 | 1.53071 | 55.69 | 1.71 |
7 (Aspheric Surface) | 2.819 | 0.49 | 2.41 | ||
8 | ∞ | 0.55 | 1.51633 | 64.14 | 2.59 |
9 | ∞ | 0.30 | 2.69 | ||
Image Plane | ∞ | ||||
Aspheric Coefficient |
2nd Surface | ||
K = −5.092, A4 = −5.50591E−02, A6 = −5.09238E−02, | ||
A8 = −7.58536E−02 | ||
3rd Surface | ||
K = −0.576, A4 = −8.24414E−02, A6 = −4.45512E−02, | ||
A8 = 5.35929E−02, A10 = −3.84535E−02 | ||
4th Surface | ||
K = −1.012, A4 = 1.68277E−01, A6 = 1.10237E−01, | ||
A8 = −6.94271E−02, A10 = 1.40257E−02 | ||
5th Surface | ||
K = −0.990, A4 = 1.04031E−01, A6 = 5.26561E−02, | ||
A8 = −1.30418E−02 | ||
6th Surface | ||
K = −17.986, A4 = 1.55583E−02, A6 = −3.08028E−02, | ||
A8 = 1.16072E−02, A10 = −1.74421E−03 | ||
7th Surface | ||
K = −11.416, A4 = 1.13495E−03, A6 = −9.12222E−03, | ||
A8 = 1.80868E−03, A10 = −1.45708E−04 | ||
Various Data |
Focal Length | 3.71 | ||
F-number | 2.8 | ||
Angle of View | −37.3° | ||
Image Height | 2.8 | ||
Total Lens Length | 5.3 | ||
BF | 1.15 | ||
Unit mm |
Surface Data |
Effective | |||||
Surface Number | r | d | nd | νd | Diameter |
1 (Stop) | ∞ | 0.30 | 0.64 | ||
2 (Aspheric Surface) | 2.745 | 1.25 | 1.53071 | 55.69 | 0.96 |
3 (Aspheric Surface) | −2.086 | 0.28 | 1.23 | ||
4 (Aspheric Surface) | −0.972 | 0.62 | 1.63493 | 23.90 | 1.28 |
5 (Aspheric Surface) | −1.600 | 0.29 | 1.32 | ||
6 (Aspheric Surface) | 1.711 | 0.96 | 1.53071 | 55.69 | 1.63 |
7 (Aspheric Surface) | 1.307 | 0.80 | 2.19 | ||
8 | ∞ | 0.55 | 1.51633 | 64.14 | 2.38 |
9 | ∞ | 0.30 | 2.59 | ||
Image Plane | ∞ | ||||
Aspheric Coefficient |
2nd Surface | ||
K = −5.000, A4 = −3.65347E−03, A6 = −2.48862E−02, | ||
A8 = −2.20502E−02 | ||
3rd Surface | ||
K = −5.000, A4 = −9.48178E−02, A6 = −4.58479E−03 | ||
4th Surface | ||
K = −2.831, A4 = 2.18773E−02, A6 = 2.63702E−02 | ||
5th Surface | ||
K = −0.910, A4 = 1.05916E−01, A6 = 1.59999E−02, | ||
A8 = 6.98342E−04 | ||
6th Surface | ||
K = −5.000, A4 = −5.52400E−02, A6 = 3.02948E−03 | ||
7th Surface | ||
K = −3.786, A4 = −3.16572E−02, A6 = 4.68703E−03, | ||
A8 = −4.22895E−04 | ||
Various Data |
Focal Length | 3.59 | ||
F-number | 2.8 | ||
Angle of View | −37.7° | ||
Image Height | 2.8 | ||
Total Lens Length | 5.1 | ||
BF | 1.47 | ||
Unit mm |
Surface Data |
Effective | |||||
Surface Number | r | d | nd | νd | Diameter |
1 (Stop) | ∞ | 0.24 | 0.62 | ||
2 (Aspheric Surface) | 2.323 | 0.94 | 1.52559 | 56.45 | 0.92 |
3 (Aspheric Surface) | −1.684 | 0.25 | 1.09 | ||
4 (Aspheric Surface) | −0.771 | 0.48 | 1.58393 | 30.21 | 1.19 |
5 (Aspheric Surface) | −1.418 | 0.71 | 1.18 | ||
6 (Aspheric Surface) | 1.647 | 0.65 | 1.52559 | 56.45 | 1.93 |
7 (Aspheric Surface) | 1.420 | 0.50 | 2.25 | ||
8 | ∞ | 0.50 | 1.51633 | 64.14 | 2.47 |
9 | ∞ | 0.54 | 2.61 | ||
Image Plane | ∞ | ||||
Aspheric Coefficient |
2nd Surface | ||
K = 1.373, A4 = −6.48922E−02, A6 = −7.14622E−02, | ||
A8 = −3.64287E−02, A10 = 6.17409E−02 | ||
3rd Surface | ||
K = 0.000, A4 = −4.68358E−02, A6 = 2.92909E−02, | ||
A8 = 2.90073E−02, A10 = −8.75951E−03 | ||
4th Surface | ||
K = −1.002, A4 = 4.06561E−01, A6 = −1.21298E−02, | ||
A8 = −2.79473E−02, A10 = 3.67448E−03 | ||
5th Surface | ||
K = −0.959, A4 = 2.53800E−01, A6 = 6.85022E−02, | ||
A8 = −5.74446E−02, A10 = 1.15390E−02 | ||
6th Surface | ||
K = −5.072, A4 = −2.83124E−02, A6 = −1.16295E−02, | ||
A8 = 3.75786E−03, A10 = −3.02246E−04 | ||
7th Surface | ||
K = −4.453, A4 = −2.25374E−02, A6 = −7.90523E−03, | ||
A8 = 2.04710E−03, A10 = −1.94628E−04 | ||
Various Data |
Focal Length | 3.48 | ||
F-number | 2.8 | ||
Angle of View | −38.8° | ||
Image Height | 2.8 | ||
Total Lens Length | 4.6 | ||
BF | 1.37 | ||
Example 1 | Example 2 | Example 3 | Example 4 | |
Condition (1-1) | −0.187 | −0.035 | −0.008 | −0.004 |
Condition (1-2) | 0.902 | 0.943 | 0.937 | 0.999 |
Condition (2) | 0.142 | 0.128 | 0.074 | 0.055 |
Condition (3) | 30.21 | 30.21 | 30.21 | 23.27 |
Condition (4) | 1.68 | 1.69 | 1.99 | 1.96 |
Condition (5) | 0.66 | 0.67 | 0.66 | 0.67 |
Condition (6) | −1.01 | −0.99 | −0.99 | −0.90 |
Condition (7) | 0.27 | 0.26 | 0.36 | 0.40 |
Condition (8) | 32.2 | 31.8 | 39.9 | 36.2 |
Condition (9) | 0.38 | 0.34 | 0.37 | 0.30 |
Condition (10-1) | 0.415 | 0.410 | 0.344 | 0.327 |
Condition (10-2) | −0.807 | −0.986 | −0.747 | −0.765 |
Condition (10-3) | 0.000 | −0.058 | 0.000 | 0.000 |
Condition (10-4) | 1.597 | 1.619 | 1.760 | 2.000 |
Example 5 | Example 6 | Example 7 | |||
Condition (1-1) | −0.004 | −0.061 | −0.002 | ||
Condition (1-2) | 1.059 | 0.711 | 0.995 | ||
Condition (2) | 0.057 | 0.140 | 0.078 | ||
Condition (3) | 23.9 | 23.9 | 30.21 | ||
Condition (4) | 2.20 | 2.15 | 2.18 | ||
Condition (5) | 0.68 | 0.69 | 0.74 | ||
Condition (6) | −0.88 | −0.83 | −0.70 | ||
Condition (7) | 0.39 | 0.33 | 0.30 | ||
Condition (8) | 35.3 | 42.7 | 34.3 | ||
Condition (9) | 0.33 | 0.13 | 0.16 | ||
Condition (10-1) | 0.310 | 0.408 | 0.395 | ||
Condition (10-2) | −0.741 | −0.573 | −0.880 | ||
Condition (10-3) | 0.000 | 0.000 | 0.000 | ||
Condition (10-4) | 2.200 | 2.138 | 0.676 | ||
Claims (11)
−0.40<f/f3<0.15 (1-2)
0.30<hc7/hp7<2.0 (1-2)
0.06<dp7/f<0.3 (2),
v2<25 (3),
0.9<R2/R3<4.4 (4),
0.3<|Hr/Σd|<1.4 (5),
−2.0<Exp/f<−0.45 (6),
0.1 (mm)<L3d/Fnos<0.7 (mm) (7),
25%<ILL<45% (8),
0.07<(R1+R2)/(R1−R2)<0.8 (9),
0.39<fb/f<0.85 (10-1)
−1.2<f2/f<−0.3 (10-2)
−0.18<(n1−n3)<0.08 (10-3)
1.3<d4/d5<9 (10-4)
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JP (1) | JP5259198B2 (en) |
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US8537474B1 (en) * | 2012-03-21 | 2013-09-17 | Largan Precision Co., Ltd. | Imaging lens system |
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JP5187951B2 (en) * | 2008-04-28 | 2013-04-24 | 株式会社オプトロジック | Imaging lens |
CN102193168B (en) * | 2010-03-04 | 2012-08-29 | 大立光电股份有限公司 | Photographic lens system |
KR101218999B1 (en) * | 2010-06-17 | 2013-01-04 | 삼성전기주식회사 | Optical system |
CN104570276B (en) * | 2013-10-09 | 2017-08-01 | 睿励科学仪器(上海)有限公司 | A kind of pipe mirror of image identification system and the image identification system with the Guan Jing |
JP6292711B2 (en) * | 2014-04-14 | 2018-03-14 | カンタツ株式会社 | Imaging lens |
CN107703620A (en) * | 2016-08-08 | 2018-02-16 | 坦前科技股份有限公司 | The amplifying lens group of virtual reality |
CN113467050B (en) * | 2021-06-30 | 2022-04-15 | 湖北华鑫光电有限公司 | 3P ultra-wide-angle lens |
KR20230056320A (en) * | 2021-10-20 | 2023-04-27 | 삼성전자주식회사 | Lens assembly and electronic device including the same |
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JP4183092B2 (en) * | 2005-06-28 | 2008-11-19 | 大立光電股▲ふん▼有限公司 | Shooting lens |
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JP2008070425A (en) * | 2006-09-12 | 2008-03-27 | Kyocera Corp | Imaging lens, optical module, and portable terminal |
JP2008139853A (en) * | 2006-11-08 | 2008-06-19 | Fujinon Corp | Imaging lens having three-lens configuration, camera module, and portable terminal equipment |
JP2008139786A (en) * | 2006-12-05 | 2008-06-19 | Largan Precision Co Ltd | Photographic lens |
JP4947580B2 (en) * | 2007-01-15 | 2012-06-06 | 京セラ株式会社 | Imaging lens, optical module, and portable terminal |
JP5037963B2 (en) * | 2007-02-09 | 2012-10-03 | 富士フイルム株式会社 | Imaging lens |
JP4077022B1 (en) * | 2007-05-23 | 2008-04-16 | 株式会社小松ライト製作所 | Imaging lens |
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JP2007003768A (en) | 2005-06-23 | 2007-01-11 | Konica Minolta Opto Inc | Photographic lens |
JP2007058153A (en) | 2005-07-27 | 2007-03-08 | Kyocera Corp | Imaging lens, optical module, and portable terminal |
JP2007047513A (en) | 2005-08-10 | 2007-02-22 | Hoya Corp | Imaging lens and imaging apparatus |
US20090046380A1 (en) * | 2007-08-14 | 2009-02-19 | Hsiang-Chi Tang | Thin Type Optical Lens System for Taking Image |
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US8537474B1 (en) * | 2012-03-21 | 2013-09-17 | Largan Precision Co., Ltd. | Imaging lens system |
US20130250441A1 (en) * | 2012-03-21 | 2013-09-26 | Largan Precision Co., Ltd | Imaging lens system |
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TW200931056A (en) | 2009-07-16 |
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US20090180200A1 (en) | 2009-07-16 |
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